Transactions of the American Mathematical Society

Author(s): Viatcheslav Futorny
Journal: Trans. Amer. Math. Soc. 349 (1997), 2663-2685.
MSC (1991): Primary 17B67
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Abstract: We study the structure of Verma type modules of level zero induced from non-standard Borel subalgebras of an affine Kac-Moody algebra. For such modules in ``general position'' we describe the unique irreducible quotients, construct a BGG type resolution and prove the BGG duality in certain categories. All results are extended to generalized Verma type modules of zero level.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 17B67

Viatcheslav Futorny
Affiliation: Department of Mathematics, Kiev University, Kiev, Ukraine 252033
Email: futorny@uni-alg.kiev.ua

DOI: 10.1090/S0002-9947-97-01957-0
PII: S 0002-9947(97)01957-0
Keywords: Affine Lie algebra, Verma type module, generalized Verma type module, BGG duality
Received by editor(s): March 27, 1995
Additional Notes: This work was done during the author's visit at the Department of Mathematics, Queen's University, whose generous support is greatly appreciated
Copyright of article: Copyright 1997, American Mathematical Society

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